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Finding the Fourth Proportional to 10,561.38, 14,561.44 and 6,777.86

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Solution

The fourth proportional to 10,561.38, 14,561.44 and 6,777.86 is: 9,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.38 : 14,561.44 = 6,777.86 : x
  2. Step 2: Convert to fraction form
    10,561.38/14,561.44 = 6,777.86/x
  3. Step 3: Cross multiply
    10,561.38x = 14,561.44 × 6,777.86
  4. Step 4: Simplify right side
    10,561.38x = 98,695,401.72
  5. Step 5: Solve for x
    x = 98,695,401.72/10,561.38
  6. Step 6: Final answer
    x = 9,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.